Question

(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent not using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (or "correct") if the argument is valid, or enterI (for "incorrect") if any part of the argument is flawed (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) 1. For all n^ 1 arctan(n 2. For all n > 3. For all n> 2, 4. For all n > 2, 5. For alln > 1, 6. For all n > 2, arctan(n) converges, so by the Comparison Test, the series , and the series Converges 2n3 si 2n) < 1, and the series,ï 217 < m , and the series Σ Inr sin 2n) converges 2. For all n> 1 converges, so by the Comparison Test, the series ,--< , and the series >, and the series - diverges, so by the Comparison Test, the series -diverges Σ n.7 converges. converges, so by the Comparison Test, the series 2 converges, so by the Comparison Test, the series 2 - <and the series converges. In(n) > 1, Σ1 converges, sobythe omparison Test, the senes Σ 1mn) converges and the series

Answer 1

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